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- Marco Bertola

International School for Advanced Studies

Italy

- Mathematical analysis
- Quantum mechanics
- Algebra

Mathematical analysis, Orthogonal polynomials, Pure mathematics, Ramanujan tau function and Polynomial are his primary areas of study. The study incorporates disciplines such as Monodromy, Random matrix, Hermitian matrix and Semiclassical physics in addition to Mathematical analysis. His Orthogonal polynomials study incorporates themes from Matrix and Riemann–Hilbert problem.

His work deals with themes such as Linear differential equation, Overdetermined system and Partition function, which intersect with Matrix. The various areas that Marco Bertola examines in his Riemann–Hilbert problem study include Riemann problem and Differential equation. The Pure mathematics study combines topics in areas such as Cauchy distribution and Combinatorics.

- Duality, Biorthogonal Polynomials¶and Multi-Matrix Models (121 citations)
- Universality for the Focusing Nonlinear Schrödinger Equation at the Gradient Catastrophe Point: Rational Breathers and Poles of the Tritronquée Solution to Painlevé I (118 citations)
- Differential Systems for Biorthogonal Polynomials Appearing in 2-Matrix Models and the Associated Riemann–Hilbert Problem (102 citations)

The scientist’s investigation covers issues in Pure mathematics, Mathematical analysis, Matrix, Orthogonal polynomials and Ramanujan tau function. His Pure mathematics research incorporates elements of Cauchy distribution, Type, Matrix model and Eigenvalues and eigenvectors. His Mathematical analysis research incorporates themes from Random matrix, Hermitian matrix and Nonlinear system.

His Matrix study combines topics from a wide range of disciplines, such as Partition function, Combinatorics, Asymptotic expansion, Limit and Sequence. His studies in Orthogonal polynomials integrate themes in fields like Polynomial and Semiclassical physics. He combines subjects such as Zero and Degree with his study of Polynomial.

- Pure mathematics (98.52%)
- Mathematical analysis (44.81%)
- Matrix (41.85%)

- Pure mathematics (98.52%)
- Matrix (41.85%)
- Type (24.81%)

His primary areas of investigation include Pure mathematics, Matrix, Type, Hypergeometric distribution and Ramanujan tau function. His study on Pure mathematics is mostly dedicated to connecting different topics, such as Simple. In Simple, Marco Bertola works on issues like Quantum, which are connected to Generalization and Representation.

Within one scientific family, Marco Bertola focuses on topics pertaining to Riemann–Hilbert problem under Matrix, and may sometimes address concerns connected to Intersection, Partition function and Combinatorics. His research integrates issues of Trace, Asymptotic expansion, Basis and Grassmannian in his study of Hypergeometric distribution. Marco Bertola has researched Monodromy in several fields, including Generating function, Quadratic differential, Meromorphic function and Conjecture.

- The Kontsevich–Penner Matrix Integral, Isomonodromic Tau Functions and Open Intersection Numbers (11 citations)
- The Kontsevich–Penner Matrix Integral, Isomonodromic Tau Functions and Open Intersection Numbers (11 citations)
- Brezin–Gross–Witten tau function and isomonodromic deformations (10 citations)

- Mathematical analysis
- Quantum mechanics
- Algebra

Marco Bertola spends much of his time researching Pure mathematics, Matrix, Type, Hypergeometric distribution and Simple. His work on Pure mathematics deals in particular with Riemann surface, Symplectic geometry and Character variety. Marco Bertola integrates Matrix with Ramanujan tau function in his research.

His Type research includes themes of Basis, Asymptotic expansion, Trace and Grassmannian. The study incorporates disciplines such as KdV hierarchy, Hierarchy, Generating series, Quantum and Taylor series in addition to Simple. His work carried out in the field of Riemann sphere brings together such families of science as Partition function, Intersection, Connection, Riemann–Hilbert problem and Eigenvalues and eigenvectors.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Universality for the Focusing Nonlinear Schrödinger Equation at the Gradient Catastrophe Point: Rational Breathers and Poles of the Tritronquée Solution to Painlevé I

Marco Bertola;Alexander Tovbis.

Communications on Pure and Applied Mathematics **(2013)**

192 Citations

Universality for the Focusing Nonlinear Schrödinger Equation at the Gradient Catastrophe Point: Rational Breathers and Poles of the Tritronquée Solution to Painlevé I

Marco Bertola;Alexander Tovbis.

Communications on Pure and Applied Mathematics **(2013)**

192 Citations

Duality, Biorthogonal Polynomials¶and Multi-Matrix Models

M. Bertola;B. Eynard;J. Harnad.

Communications in Mathematical Physics **(2002)**

126 Citations

Duality, Biorthogonal Polynomials¶and Multi-Matrix Models

M. Bertola;B. Eynard;J. Harnad.

Communications in Mathematical Physics **(2002)**

126 Citations

Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation.

Alexey Tikan;Cyril Billet;Gennady El;Alexander Tovbis.

Physical Review Letters **(2017)**

116 Citations

Universality of the Peregrine Soliton in the Focusing Dynamics of the Cubic Nonlinear Schrödinger Equation.

Alexey Tikan;Cyril Billet;Gennady El;Alexander Tovbis.

Physical Review Letters **(2017)**

116 Citations

Differential Systems for Biorthogonal Polynomials Appearing in 2-Matrix Models and the Associated Riemann–Hilbert Problem

M. Bertola;M. Bertola;B. Eynard;J. Harnad;J. Harnad.

Communications in Mathematical Physics **(2003)**

103 Citations

Differential Systems for Biorthogonal Polynomials Appearing in 2-Matrix Models and the Associated Riemann–Hilbert Problem

M. Bertola;M. Bertola;B. Eynard;J. Harnad;J. Harnad.

Communications in Mathematical Physics **(2003)**

103 Citations

Partition functions for matrix models and isomonodromic tau functions

M Bertola;M Bertola;B Eynard;J Harnad;J Harnad.

Journal of Physics A **(2003)**

101 Citations

Partition functions for matrix models and isomonodromic tau functions

M Bertola;M Bertola;B Eynard;J Harnad;J Harnad.

Journal of Physics A **(2003)**

101 Citations

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